Category: Arithmetic

Techniques for problems on Arithmetic

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Arithmetic Smart Math

[Smart Math] Arithmetic Problem 27

Here’s and example of a SMART MATH problem for ARITHMETIC.

Arithmetic

Problem

How many integer solutions exists for the equation \left| y-\sqrt{(y+2)^{2}-9} \right|=5?

\left| y-\sqrt{(y+2)^{2}-9} \right|=5

  1. 0
  2. 1
  3. 2
  4. 3
  5. 4

[starrater tpl=10]

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Arithmetic Smart Math

[Smart Math] Arithmetic Problem 26

Here’s and example of a SMART MATH problem for ARITHMETIC.

Arithmetic

Problem

Simplify \frac{\sqrt{11+4\sqrt{7}}+\sqrt{8+\sqrt{64}}}{\sqrt{11-4\sqrt{6}}}

  1. \frac{2\sqrt{14}+12\sqrt{2}+\sqrt{21}-6\sqrt{3}}{5}
  2. \frac{2\sqrt{14}+12\sqrt{2}-\sqrt{21}+6\sqrt{3}}{5}
  3. \frac{2\sqrt{14}-12\sqrt{2}-\sqrt{21}+6\sqrt{3}}{5}
  4. \frac{2\sqrt{14}-12\sqrt{2}+\sqrt{21}-6\sqrt{3}}{5}
  5. \frac{2\sqrt{14}+12\sqrt{2}+\sqrt{21}+6\sqrt{3}}{5}
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Arithmetic Smart Math

[Smart Math] Arithmetic Problem 25

Here’s and example of a SMART MATH problem for ARITHMETIC.

Arithmetic

Problem

What is

(3333)_{10}

written in the base system in which (6822)_{10} is written as 5142?

  1. 2560
  2. 4320
  3. 1220
  4. 7986
  5. 3454
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Arithmetic Smart Math

[Smart Math] Arithmetic Problem 24

Here’s and example of a SMART MATH problem for ARITHMETIC.

Arithmetic

Problem

The sum of 5 successive number is 100. What is the product of the first and last number?

  1. 246
  2. 282
  3. 396
  4. 484
  5. 555
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Arithmetic Smart Math

[Smart Math] Arithmetic Problem 23

Here’s and example of a SMART MATH problem for ARITHMETIC.

Arithmetic

Problem

Find the smallest from: \frac{3}{7}, \frac{7}{20}, \frac{13}{25}, \frac{11}{20} and \frac{15}{23}.

  1. \frac{3}{7}
  2. \frac{7}{20}
  3. \frac{13}{25}
  4. \frac{11}{20}
  5. \frac{15}{23}
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Arithmetic Smart Math

[Smart Math] Arithmetic Problem 22

Here’s and example of a SMART MATH problem for ARITHMETIC.

Arithmetic

Problem

Find the LCM of \frac{4}{5}, \frac{3}{4} and \frac{5}{7}.

  1. \frac{5}{12}
  2. 1
  3. 20
  4. 60
  5. \frac{60}{7}
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Arithmetic Smart Math

[Smart Math] Arithmetic Problem 21

Here’s and example of a SMART MATH problem for ARITHMETIC.

Arithmetic

Problem

Find the sum of reciprocal of two numbers whose sum is 12 and product is 32.

  1. \frac{5}{3}
  2. \frac{8}{3}
  3. 3
  4. \frac{3}{8}
  5. 8
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Arithmetic Smart Math

[Smart Math] Arithmetic Problem 20

Here’s and example of a SMART MATH problem for ARITHMETIC.

Arithmetic

Problem

\frac{\sqrt{6}+\sqrt{7}}{\sqrt{5}-\sqrt{6}}=?

  1. 6+\sqrt{30}+\sqrt{35}+\sqrt{42}
  2. 6-\sqrt{30}+\sqrt{35}+\sqrt{42}
  3. 6+\sqrt{30}-\sqrt{35}+\sqrt{42}
  4. 6-\sqrt{30}-\sqrt{35}-\sqrt{42}
  5. 6+\sqrt{30}+\sqrt{35}-\sqrt{42}
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Arithmetic Smart Math

[Smart Math] Arithmetic Problem 19

Here’s and example of a SMART MATH problem for ARITHMETIC.

Arithmetic

Problem

\frac{4}{4+\frac{0.4-4.04}{4\times 0.91}}=?

  1. 1.3
  2. 3.7
  3. 16
  4. 4.5
  5. 5.6
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Arithmetic Smart Math

[Smart Math] Arithmetic Problem 18

Here’s and example of a SMART MATH problem for ARITHMETIC.

Arithmetic

Problem

The sum of cubes of three numbers is 8072 and the ratio of the first to the second as also the second to the third is 3 : 2. What is the second number?

  1. 2
  2. 4
  3. 6
  4. 9
  5. 12
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